TY - JOUR
T1 - Semi-implicit direct forcing immersed boundary method for incompressible viscous thermal flow problems
T2 - A Schur complement approach
AU - Feldman, Yuri
N1 - Funding Information:
The study was funded by GIF-German Israel Foundation , under contract number: I-2471-405.10/2017 .
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/12/1
Y1 - 2018/12/1
N2 - An extended immersed boundary method utilizing a semi-implicit direct forcing approach for the simulation of confined incompressible viscous thermal flow problems is presented. The method utilizes a Schur complement approach to enforce the kinematic constraints of no-slip and the corresponding thermal boundary conditions for immersed surfaces. The developed methodology can be straightforwardly adapted to any existing incompressible time marching solver based on a segregated pressure-velocity coupling. The method accurately meets the thermal and the no-slip boundary conditions on the surfaces of immersed bodies for the entire range of Rayleigh numbers 103⩽Ra⩽106. Strategies for further increasing the computational efficiency of the developed approach are discussed. The method has been extensively verified by applying it for the simulation of a number of representative fully 3D confined natural convection steady and periodic flows. Complex dynamic phenomena typical of this kind of flow including vortical structures and convection cells and instability characteristics, were simulated and visualized and the results were found to compare favorably with results known from literature.
AB - An extended immersed boundary method utilizing a semi-implicit direct forcing approach for the simulation of confined incompressible viscous thermal flow problems is presented. The method utilizes a Schur complement approach to enforce the kinematic constraints of no-slip and the corresponding thermal boundary conditions for immersed surfaces. The developed methodology can be straightforwardly adapted to any existing incompressible time marching solver based on a segregated pressure-velocity coupling. The method accurately meets the thermal and the no-slip boundary conditions on the surfaces of immersed bodies for the entire range of Rayleigh numbers 103⩽Ra⩽106. Strategies for further increasing the computational efficiency of the developed approach are discussed. The method has been extensively verified by applying it for the simulation of a number of representative fully 3D confined natural convection steady and periodic flows. Complex dynamic phenomena typical of this kind of flow including vortical structures and convection cells and instability characteristics, were simulated and visualized and the results were found to compare favorably with results known from literature.
KW - Distributed Lagrange multiplier
KW - Immersed boundary method
KW - Schur complement
KW - Segregated pressure-velocity coupling
UR - http://www.scopus.com/inward/record.url?scp=85049535051&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2018.06.099
DO - 10.1016/j.ijheatmasstransfer.2018.06.099
M3 - Article
AN - SCOPUS:85049535051
SN - 0017-9310
VL - 127
SP - 1267
EP - 1283
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
ER -